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1140222410240 = 2951567284237
BaseRepresentation
bin10000100101111010100…
…011010011111000000000
311001000010001121220201112
4100211322203103320000
5122140133414111430
62231451055222452
7145243526400464
oct20457243237000
94030101556645
101140222410240
113aa624909151
12164b96217a28
13836a3c60314
143d28940c4a4
151e9d6c6c195
hex1097a8d3e00

1140222410240 has 80 divisors (see below), whose sum is σ = 2735615659392. Its totient is φ = 455796301824.

The previous prime is 1140222410209. The next prime is 1140222410251. The reversal of 1140222410240 is 420142220411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3869402 + ... + 4153638.

Almost surely, 21140222410240 is an apocalyptic number.

1140222410240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140222410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367807829696).

1140222410240 is an abundant number, since it is smaller than the sum of its proper divisors (1595393249152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1140222410240 is an equidigital number, since it uses as much as digits as its factorization.

1140222410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285827 (or 285811 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1140222410240 its reverse (420142220411), we get a palindrome (1560364630651).

The spelling of 1140222410240 in words is "one trillion, one hundred forty billion, two hundred twenty-two million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1567 2560 3134 6268 7835 12536 15670 25072 31340 50144 62680 100288 125360 200576 250720 284237 401152 501440 568474 802304 1002880 1136948 1421185 2005760 2273896 2842370 4011520 4547792 5684740 9095584 11369480 18191168 22738960 36382336 45477920 72764672 90955840 145529344 181911680 363823360 445399379 727646720 890798758 1781597516 2226996895 3563195032 4453993790 7126390064 8907987580 14252780128 17815975160 28505560256 35631950320 57011120512 71263900640 114022241024 142527801280 228044482048 285055602560 570111205120 1140222410240